Prime p₀= 2328648148144473497 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: Landjunge
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2328646666603909321	0 28 36 46 70 138 150 172 186 208 220 288 312 322 330 358	-1481540564176
STPT(10)	2328646724895914609	0 2 18 20 30 32 42 44 60 62	-1423248558888
SPT(16)	2328647038345004743	0 10 16 36 66 70 88 100 156 168 186 190 220 240 246 256	-1109799468754
STPT(10)	2328647278481048849	0 2 42 44 60 62 78 80 120 122	-869663424648
SPT(16)	2328647309452567813	0 30 54 108 156 168 210 234 250 274 316 328 376 430 454 484	-838691905684
SPT(16)	2328647681842101533	0 20 50 60 78 96 134 156 158 180 218 236 254 264 294 314	-466302371964
SPT(16)	2328648470338336291	0 40 48 90 112 138 150 178 252 280 292 318 340 382 390 430	322193862794
STPT(10)	2328648719302003127	0 2 12 14 42 44 72 74 84 86	571157529630
SPT(16)	2328649379615741321	0 12 20 42 90 150 156 168 170 182 188 248 296 318 326 338	1231471267824
SPT(18)	2328649384082005493	0 20 104 168 194 204 210 288 320 378 410 488 494 504 530 594 678 698	1235937531996
STPT(10)	2328649478497571399	0 2 42 44 60 62 78 80 120 122	1330353097902